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Finding the Fourth Proportional to 5,346.11, 8,019.92 and 1,648.64

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Solution

The fourth proportional to 5,346.11, 8,019.92 and 1,648.64 is: 2,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.11 : 8,019.92 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    5,346.11/8,019.92 = 1,648.64/x
  3. Step 3: Cross multiply
    5,346.11x = 8,019.92 × 1,648.64
  4. Step 4: Simplify right side
    5,346.11x = 13,221,960.91
  5. Step 5: Solve for x
    x = 13,221,960.91/5,346.11
  6. Step 6: Final answer
    x = 2,473.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.